Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
log(36,200) = 4.558709 (rounded)log[log(36,200)] = 0.658842 (rounded)
Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.
It is because the logarithm function is strictly monotonic.
To solve the equation (2^x = 3), take the logarithm of both sides. This can be done using either natural logarithm (ln) or common logarithm (log): [ x = \log_2(3) = \frac{\log(3)}{\log(2)} ] This gives you the value of (x) in terms of logarithms. You can then use a calculator to find the numerical value if needed.
Common
y = 10 y = log x (the base of the log is 10, common logarithm) 10 = log x so that, 10^10 = x 10,000,000,000 = x
Natural log Common log Binary log
"Log" is not a normal variable, it stands for the logarithm function.log (a.b)=log a+log blog(a/b)=log a-log blog (a)^n= n log a
log(36,200) = 4.558709 (rounded)log[log(36,200)] = 0.658842 (rounded)
log base 10 x = logx
Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.
It is because the logarithm function is strictly monotonic.
To solve the equation (2^x = 3), take the logarithm of both sides. This can be done using either natural logarithm (ln) or common logarithm (log): [ x = \log_2(3) = \frac{\log(3)}{\log(2)} ] This gives you the value of (x) in terms of logarithms. You can then use a calculator to find the numerical value if needed.
Common
The logarithm to the base 10 of 100 is 2, because 102 = 100.
The 'common' log of 4 is 0.60206 (rounded) The 'natural' log of 4 is 1.3863 (rounded)
The value of log 500 depends on the base of the logarithm. If the base is 10 (common logarithm), then log 500 is approximately 2.69897. If the base is e (natural logarithm), then log_e 500 is approximately 6.2146. The logarithm function is the inverse of exponentiation, so log 500 represents the power to which the base must be raised to equal 500.